Iraq's military said on Wednesday that two rockets had fallen inside Baghdad's heavily fortified Green Zone, which houses government buildings and foreign missions including the US Embassy, but caused no casualties. It did not provide further details.
"Two Katyusha rockets fall inside the Green Zone without causing casualties. Details to follow," it said in a statement.
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US Vice President Mike Pence, meanwhile, said on Wednesday the United States had received intelligence that Iran had asked its allied militias not to attack US targets.
"We're receiving some encouraging intelligence that Iran is sending messages to those very same militias not to move against American targets or civilians, and we hope that that message continues to echo," Pence told CBS News in an interview.
Also Wednesday, the US told the United Nations that the killing of Iranian commander Qassem Soleimani was self-defense and vowed to take additional action "as necessary" in the Middle East to protect US personnel and interests.
In a letter to the UN Security Council, US Ambassador Kelly Craft said the United States also stands "ready to engage without preconditions in serious negotiations with Iran, with the goal of preventing further endangerment of international peace and security or escalation by the Iranian regime."
The killing of Soleimani in Baghdad on Friday was justified under Article 51 of the UN Charter, wrote Craft in the letter.
Under Article 51, countries are required to "immediately report" to the 15-member Security Council any measures taken in exercising the right of self-defense. The United States used Article 51 to justify taking action in Syria against Islamic State militants in 2014.
